9208720226160 has 1920 divisors, whose sum is σ = 40429412352000. Its totient is φ = 1909387468800.

The previous prime is 9208720226131. The next prime is 9208720226183. The reversal of 9208720226160 is 616220278029.

9208720226160 is a `hidden beast` number, since 9 + 2 + 0 + 8 + 7 + 2 + 0 + 22 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26386017666 + ... + 26386018014.

It is an arithmetic number, because the mean of its divisors is an integer number (21056985600).

Almost surely, 2^{9208720226160} is an apocalyptic number.

9208720226160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9208720226160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214706176000).

9208720226160 is an abundant number, since it is smaller than the sum of its proper divisors (31220692125840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9208720226160 is a wasteful number, since it uses less digits than its factorization.

9208720226160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 9208720226160 in words is "nine trillion, two hundred eight billion, seven hundred twenty million, two hundred twenty-six thousand, one hundred sixty".